
Linear Algebra Done Right
by Sheldon Axler (1995)
Like Hefferon's book, this offers a rigorous approach to linear algebra with a focus on theory.
by Jim Hefferon (2017)
The approach is developmental. Although it covers the requisite material by proving things, it does not assume that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and exercises that range from routine verifications to (a few) challenges. The goal is, in the context of developing the usual material of an undergraduate linear algebra course, to help raise each student's level of mathematical maturity.
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by Sheldon Axler (1995)
Like Hefferon's book, this offers a rigorous approach to linear algebra with a focus on theory.

by Gilbert Strang (1993)
Similar to Hefferon's text, Strang's book provides a solid foundation in linear algebra with practical applications.

by John B. Fraleigh (1967)
If you appreciate the developmental approach of Hefferon's book, this offers a similar progression in abstract algebra.

by David C. Lay (1976)
This book, like Hefferon's, balances theoretical concepts with numerous examples and applications in linear algebra.

by Roger A. Horn (1996)
For those who enjoyed the depth of Hefferon's linear algebra, this advanced text delves deeper into matrix theory.
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